To take longer than expected; to be delayed or held up (often because a task is troublesome or difficult).
新しいシステムに慣れるのに手間取っている。
I'm having trouble getting used to the new system and it's taking longer than expected.
手続きに手間取り、出発が遅れてしまった。
We were delayed by the paperwork and our departure was late.
その部分で手間取ると、全部の作業が遅れる可能性がある。
If you get stuck on that part, the whole job could be delayed.