outstay
1. [ verb ] stay too long
Synonyms: overstay
Examples:

"overstay or outstay one's welcome"

Related terms: bide
2. [ verb ] surpass in staying power
Examples:

"They outstayed their competitors"

Related terms: last_out
Similar spelling:   outstare
  outset
  outstation
  outstrip
  outstroke
  outshout
  outshoot