Handle on Tuesday at a flexible rate (5)
I believe the answer is:
treat
'handle' is the definition.
(I know that handle can be written as treat)
'tuesday at a flexible rate' is the wordplay.
'tuesday' becomes 't' ().
'at' is a charade indicator (letters next to each other).
'a flexible' is an anagram indicator (I've seen this in other clues).
'rate' with letters rearranged gives 'reat'.
't'+'reat'='TREAT'
'on' acts as a link.
(Other definitions for treat that I've seen before include "Minister - buy one a drink" , "Unexpected surprise" , "Apply remedies" , "Engage in negotiations" , "Pay for someone's food or entertainment" .)