I had the idea about growing monster (and went into a strategy/management game :D), but it wouldn't have been into a puzzle like this, great idea!
The music is nice, the world map is nice but I thought it was broken at first, maybe put a hint into the description where to click (I found, but if I was lost, I think I won't be the only one :p)
The atmosphere is really nice, a bit of trial and error at first, but I got the concept pretty fast, well done!