Judge taking tea-break after Times puzzle (8)
I believe the answer is:
Here is my best explanation:
'judge' is the definition.
(estimating is a kind of judging)
'tea-break after times puzzle' is the subsidiary indication.
'break' is an anagram indicator.
'after' says to put letters next to each other.
'puzzle' is an anagram indicator.
'tea' with letters rearranged gives 'ate'.
'times' anagrammed gives 'estim'.
'ate' after 'estim' is 'estimate'.
'taking' is the link.
(Other definitions for estimate that I've seen before include "Reckon, guess", "Statement giving the likely cost of a job", "Calculate roughly", "Make an educated guess", "Judge the worth of", "Form opinion of - tea times (anag)", "Judgment, appraisal", "Guess the cost", "Rough guess" and "approximate price".)