Not bad, but could be better...
The control scheme was fairly decent, but the spider would take damage at random times, and the egg flew out of his (her?) mouth far too often. Also, as CadetKlaaz states below me, the 'jumping' was far too problematic, as was the fact that the 'webbing' material seemed to offer no elasticity whatsoever. Often I would be unable to attach a web even with the 'head' almost touching the surface. Lastly, the grabbing mechanic was off by a long way. I lost count of how many times I restarted the entire level because I grabbed the egg sac instead of grabbing the web line, or because the grab mechanic switched me to the egg automatically while I was trying to rappel (which, as minor note, is misspelled in the level description.)
Overall, a good concept, but the controls could use some work and the storyline seems to be nonexistent. 6/10, 3/5