More progress, it's been a very busy weekend/week though so, slow going. But now I can get levels in from Tiled easily and have spawn points/exits setup (it's no longer an infinite climber, just a platformer) and my artist is working on some graphics. Most of the work done here is behind the scenes, so hopefully I'll have a lot more to actually show in the next couple days.
Here's a gif from the test level I'm using to finalise the size/shape of the cats jump and (soon) his wall-clinging ability.