At a loose end means with nothing in particular to do. At a loose end on a Sunday.
It is mildly restless rather than relaxed, which is the whole feeling of it. Anybody at a loose end for long enough starts a project they had not planned.
1phraseat a loose endWith nothing in particular to do.
“He was at a loose end all afternoon and rearranged the shed.”
at a loose end is a phrase.
Practised in Idioms