What year CR-V do you have??? If it's a 2007-2011 CR-V, there is no way it should have fallen off already and the dealer should replace it for free.
If you have a 1997-2001 or a 2002-2006 CR-V, it's nothing to worry about. Like you said, as long as you don't park in long grass.
Also, I'll be moving this thread to the clinical rounds in the 1997-2006 forums if you do have a gen 1 or a gen 2.