on someone's hands

prepositional phrase2

1. •
   Available to be used by someone; in someone's possession.

   • I've got a lot of time on my hands.
2. •
   Being someone's liability or responsibility; with which someone is lumbered.

   • When I started yelling, the other kids started yelling, so Madame Rosa had seven kids on her hands, all bellowing for their mothers […] — 1986