Thinking time is lost for conciliation (9)
I believe the answer is:
mediation
'for conciliation' is the definition.
(thesaurus)
I can't explain the rest of the clue.
Can you help me to learn more?
(Other definitions for mediation that I've seen before include "Help for rocky marriage" , "Arbitration" , "Bringing together" , "acting as go-between" , "Intervention aimed at reconciliation" .)