i have i couple ideas and things a wanna say

1: sounds are very different game SFX is very style fitting but the music and death sound don't fit

2: this honestly makes me want to make like a collection of mini games like this so good job (:

3: more GB or PICO8 then Atari to me

4: you should add web points that you could grapple too so that you go faster  but make it so you still have to shoot to use it 

5: menus should be controlled with F instead of Enter

6: make web ammo respawn over time at a slow rate

again amazing game 

The idea is cool! I think that it would have been better if the spider velocity was a bit greater.
Then I liked the background music, but some sound effects like the "Game Over" voice, might not fit the game vibes!