You have some interesting platformer mechanics. The character controls using tongue and eggs works well.
Level design could use some work. Its hard to tell where to go and sometimes you feel like you're going the wrong way when you're not. Landmarks of some sort would go a long way towards fixing this. There's also a lot of hallways and flat platform after flat platform.
Dialog needs some sort of indicator that tells you when its finished. At first I would read the first line and walk away thinking that's all there was.
The king of the targays needs some indication when damage is dealt besides shrinking. I wasn't sure if the eggs were doing anything.
Overall it's not bad, I was intrigued by your game's style and enjoyed learning your games mechanics, but I feel with some better level design it could be much better.