The answer is “plate”. Please see the following explanation:

An object of holding consumables

A plate holds foods, which are consumable items

Or device to heal your breakables

Metal plates can be placed in the body to help heal/repair your breakable bones

Without the front beginning

When you remove the front of the word (the letter “p”), it becomes “late”

It’s tardy and misses the worm

“Late” means tardy, aka early bird gets the worm, late does not