suf ‧ fer ‧ ance /ˈsʌf ə rəns/ BrE AmE noun
[ Word Family: noun : ↑ sufferer , ↑ suffering , ↑ sufferance ; verb : ↑ suffer ; adverb : ↑ insufferably ; adjective : ↑ insufferable ]
on sufferance formal if you live or work somewhere on sufferance, you are allowed to do it by someone who would prefer you did not do it:
He was never going to let her forget she was only here on sufferance.