The big problem I'm having is the word "march" - I can't think of anything that really does that except humans, penguins and ants, and any items carried to war by humans (none of which I can make fit atm). I wondered if it obliquely references the month but figure that might be stretching.
All of the lines are not describing anything literally - they are all referring to idioms / sayings about the riddle's subject.
EDIT 1: I've probably made this far too hard, thinking about it, since if you don't know one of them then you won't be able to make all of the lines fit.
EDIT 2: Actually I think the wording on that last line is wrong!!! I have changed it to: And March will leave like me