Been hoping this project hasn't died, but anyway, there's actually been a fair amount of work done on CC1 Lynx lately. Notable improvements I know about:
Digdirt, Underground: both can be done one second faster than the MS route by exploiting the fact that dirt is only cleared when Chip is completely in the tile. These routes are both in the Lynx public TWS linked below (I added Digdirt just now, actually).
Spooks: apparently there are relatively easy to find improvements to the public MS route based on the route. The beginning is the same, though: that much was confirmed. the 547.6 MS route seems to translate directly to Lynx, perhaps with a 3 tick wait somewhere.
Cityblock: I set a new record in MS. Not going to post the exact route here (since at least one other person is looking for it) but I'd be willing to chip in (ha, ha) when it comes to this level in the TAS, as at least 2 of the tricks I found apply directly.
Cake Walk: 701 was scored in Lynx by using a different bridging path and a metric ton of block slaps-I don't know the specifics, but I do know that it collected the blue key and used the force floor adjacent to the blue lock to not need to turn the blocks as far.
Also I thought this was linked earlier, but here's some optimized runs of most of the game, with commentary, in Lynx:
https://www.youtube.com/watch?v=6_WBYSF1pkQ&list=PLS3YWq7Lf_PLPDGrL1bu08_1tA7wSZ_Eb
Lastly, there's now a Lynx public TWS:
http://www.davidstolp.com/old/chips/tws/?set=CHIPS-lynx
Mostly inoptimal, but there should be some useful routes in here.
Maybe if this is still dead come next year I'll have to do it..maybe after working on CCLP3 more