He/she wouldnt find time in a clock shop

exp.

Heard in Tipperary

Describing someone who is very busy or self-centred; a person who has no time for anyone but themselves.

In use

Tom: "Did ya talk to your man lately?" John: "Nah, he couldnt find time in a clock shop"

Posh English

Tom: Have you spoken with that gentleman lately? John: No, he could not find time in a shop full of clocks.