Great to see a jam game inspired by a previous entry, it really give me a sense of community collaboration! Your game stands quite well on its own with different different puzzles, mechanics and setting.
Everything controls quite well given some of the complexities of the system. I did find wall jumping to be a little difficult, but the game allows you to get it done with mostly one wall, so it's not too bad. Some of the jumps require too precise of a timing when running to the end of a ledge. The core has some weird interactions regardless of where you put it. All other items work well, though I do wish the wrench was drawn a bit thicker, it looks painfully sharp.
The art and music track work well together to create the setting. I like the moans, but the orgasm is a bit long both in terms of sound and animation. The body cross-sections and hands could be adjusted for cleaner lines to match the pristine laboratory look that the rest of the art has. I expected a small horny scene of some sort with the AI at the end, just to give the player a bit more of a sense of closure and reward. I liked the room where players get to mess around at the very end, that's a nice reward too!
Very nice work! I'm enjoying seeing the emergence of this new genre of platformers, and I think you've done a truly admirable job of doing something new and interesting with Body Heat's mechanics!