Record our time in dismay (10)
I believe the answer is:
discourage
'dismay' is the definition.
(thesaurus)
'record our time' is the wordplay.
'record' becomes 'disc' (eg a CD, compact disc).
'time' becomes 'age' (an age is a period of time).
'disc'+'our'+'age'='DISCOURAGE'
'in' acts as a link.
(Other definitions for discourage that I've seen before include "Try to stop" , "Talk out of" , "Deter; dishearten" , "Cause loss of enthusiasm in (someone)" , "Put off" .)