Thank you all for the kind words and for taking the time commenting. What a warm welcome! I'll post my whole rationale before addressing your suggestions. Should have done it in the first post, but didn't want to scare anyone away with a huge wall of text.
Netrunner is my first card game ever and I spend all my energies trying to keep up with all the rules and interactions, as well as learning basic card game skills that veterans have. So in order to make things easy on me, I resort heavily to netdecks. But lately I'm beginning to get more comfortable with the game, so I decided it was time to delve into the most complicated aspect of the game. I tell you this because this is what it made me choose Chaos Theory – keeping things as simple as possible. I looked at her and saw an easy to understand ability as well as a 40 card limit, which I thought would teach me a lot about Netrunner deck building and the importance of deck slots. So that's exactly the theme of the deck. Keeping things simple and direct.
The first cards on my mind were the breakers. I wanted only one copy of each (that precious deck space) and I wanted to avoid Corroder because I wanted to explore other cards (since I'm always playing with it), so that's Lady chosen. Gordian Blade was an easy pick over Zule. And for the first time, I realized how crap almost all the regular Killers are so I was kind of lost in picking one. Mimic was not an initial option because I knew I wasn't going to include Datasucker/Parasite. In any case, I knew I wanted to play Dinosaurus (because of theme, and trying to pick other consoles besides the usual ones) so I thought Femme could be made viable if hosted on it. Mimic was another suggestion for early breaking, because I was having some trouble getting Femme on time, so I wouldn't run at all for the first 5/6 turns. To be honest, I've yet to use it as planned and tutoring for it just to trash it 2 turns later really does suck.
Economy wise, I knew I needed to have a constant stream of credits to fuel the breakers and Opus fits that role. Memory was tight, but it's a perfect fit with Dinosaurus saving 1 Mem at worst. Sure Gambles are kind of obvious. On one version of the deck I had some Dirty Laundries, but I found them kind of unnecessary with Opus. Modded was a nice fit with not so cheap programs and hardware.
SMC was an auto include because I needed to get a full rig as soon as possible. Test Run for more tutoring and picked Scavenge to recurse Lady and Femme target. And I have to admit I did not remember at all that Test Run combo'd with Scavenge in order to have free program installs. Femme was looking the right choice all along and I was/am pretty happy with it. I knew I also needed to draw all my pieces quickly, so I used 3x Diesel in the beginning. I ended up trading them for Quality Time because I felt I needed even more speed and the 3 creds were worth it. I also don't usually end up trashing a lot of cards because of Modded and the extra copies of Opus and Dino. Tinkering was suggested to me and I really like it because it's unexpected and it allows very early pressure.
RDI and Indexing for R&D pressure and Legwork for HQ. Account Siphon for econ denial and to help me fund my breaking sprees. I have to say that choosing Influence was, and still is, the hardest thing to do. I don't have many cards memorized so I get really lost. Siphon was one of the safest choices I could make, so that's also one of the reasons. I tried including Emergency Shutdown because huge ICE is a real problem (Archer) and the plan was to tax the corp at the same time it makes it easy for me to keep running.
Hades Shard (paid for) because I really like watching the expressions of players realizing you can't Jackson those agendas out. One of those guilty Netrunner pleasures. And because the deck is event heavy, I thought Same Old Thing would be a wise choice, since it would allow me great flexibility in choosing the best event to recur.
So that's my rationale behind the decisions I made for the deck. I'll address your suggestions now:
-1 Dinosaurus or even no Dino at all. This is one of the things that still puzzles me when deckbuilding – the quantity of cards. I feel that Dino is a central piece for the whole rig. Without Dino, Femme is super expensive for breaking and I don't get enough memory for the whole rig. Femme+Lady+Gordian+Opus is 6 total, but Dino takes it down the 5 limit. Wouldn't this be considered an automatic 3-of? As for no Dino at all, the rig just wouldn't work without extra memory and economy to boost for Femme. I feel that cutting Dino would require a total deck rework, like the one Cheezewheel posted. Astrolabe would be cool, but I would still need to find the economy for Femme, if there even is any that can support +4 credits every turn. I recognise that when the rest of the Dino cards appear, I wish it would be something else, but I still can't make the call between Dino consistency and more flexibility with the extra deck space.
As for only 2x Same Old Things, I can totally see it. I usually don't have time to use even 2 of them, much less 3. So I'll incorporate that change immediately (everyone of you suggested that change by the way!). Same thing with Modded, since I'll rock some Plascretes now. Will feel much safer Siphoning and not caring about tags.
+1 Legwork is a weird one for me. Not because it isn't powerful, but because I feel I still lack the skill of knowing when to use it. For example, if I manage to get an R&D lock and know that the next 2/3 cards aren't agendas, should I Legwork? Or should I wait a little bit longer?
As for the Fracter consideration, it brings up another major point I'm finding out now that I build my own lists. Card loyalty/hate and theme over efficiency. I know that Corroder is amazing. I even like the artwork quite a lot (big deal for me)! But it's hard for me to include it because I want to try new things and play with new cards. I mean, what's the point of buying all the packs if I keep using the same cards? I know I'm a newbie and that I should keep things basic, but in this case, I feel that Lady (besides being fresh and exciting) is quite viable. I feel kind of bad saying this in a forum filled with hardcore Netrunner veterans, but this casual artwork appreciating side is quite important to me and makes me enjoy the game quite a lot. I like winning and I'm competitive, but I get bored quickly when everyone is playing the same cards and builds, over and over. So this is a tough one for me to balance because I'm not advanced enough to pilot less-efficient cards and jank.
Should I cut down to 2 Opus? Again, it's one of those cards that I just have to have early. The deck doesn't function without it.
+2 Clone Chip is a very nice addition indeed. Now that I have 2 Ladies I can feel more comfortable breaking all those barriers.
By the way, should I always hit max influence? Like I said, I struggle quite a lot with influence choosing and sometimes go 14/15 or even 13/15. Is it a bad habit that I should practice to avoid?
Holy cow, 1300+ words. I'll shut up now. Thanks again @JohnnyCreations, @PeekaySK and @Cheezewheel. Also, here's the new revised list that I'll be playing and testing with:
Straight to Business Chaos v0.22
Chaos Theory: Wünderkind (Cyber Exodus)
14 influence spent (max 15)
40 cards (min 40)
Cards up to All That Remains
Deck built on NetrunnerDB.