To cause someone to become accustomed to something (usually) unpleasant.
To take effect, to be operative. Example: Jim buys a beach house that includes the right to travel across the neighbor's property to get to the water. That right of way is said, cryptically, "to inure to the benefit of Jim".
To commit.
All clues having "INURE"
for an answer:
You can find a list of possible crossword clues for INURE below.