outstay

verb (used with object)

1. to stay longer than.
2. to stay beyond the time or duration of; overstay: to outstay one’s welcome.

verb (tr)

1. to stay longer than
2. to stay beyond (a limit)
3. outstay one’s welcome See overstay (def. 4)

v.c.1600, from out (adv.) + stay (v.).