Fetching details from the dictionary...
starting (e.g. of an engine); engaging (e.g. of a lock)
expenses; costs
attack (esp. a corner approach)
barb (of a fish hook)
charge; duty; person in charge; official; clerk
「掛り」 has another reading with different meanings.
エンジンの掛りが悪くて困っている。
I'm having trouble because the engine is slow to start.
寒い朝は車の掛りが悪くなる。
On cold mornings, the car is harder to start.
鍵の掛りが甘いので修理を頼んだ。
The lock doesn't engage properly, so I asked for a repair.