I hear both from people. I personally say RE-SPITE.
EDIT: Ah, it's one of those other side of the pond things. res-pit is typically a British pronunciation.
Main Entry:
1re·spite Listen to the pronunciation of 1respite
Pronunciation:
\ˈres-pət also ri-ˈspīt, British usually ˈres-ˌpīt\
Function:
noun
Etymology:
Middle English respit, from Anglo-French, from Medieval Latin respectus, from Latin, act of looking back — more at respect
Date:
13th century
1 : a period of temporary delay 2 : an interval of rest or relief
EDIT: Ah, it's one of those other side of the pond things. res-pit is typically a British pronunciation.
Main Entry:
1re·spite Listen to the pronunciation of 1respite
Pronunciation:
\ˈres-pət also ri-ˈspīt, British usually ˈres-ˌpīt\
Function:
noun
Etymology:
Middle English respit, from Anglo-French, from Medieval Latin respectus, from Latin, act of looking back — more at respect
Date:
13th century
1 : a period of temporary delay 2 : an interval of rest or relief