expression, i-adjective
too busy to deal with; unable to keep up
Used when one is so overwhelmed with visitors, tasks, or requests that they cannot handle them all. Often implies a constant stream of demands.
年末は来客が多くて、応接に暇がない。
At the end of the year, I have so many visitors that I can't keep up with them.
問い合わせが殺到
Inquiries are flooding in, and we're unable to handle them all.