Touching time with rep around noon (7)
I believe the answer is:
tangent
'touching' is the definition.
(I've seen this before)
'time with rep around noon' is the wordplay.
'time' becomes 't'.
'with' says to put letters next to each other.
'rep' becomes 'agent' (I've seen this before).
'around' means one lot of letters goes inside another.
'noon' becomes 'n'.
'agent' placed around 'n' is 'angent'.
't'+'angent'='TANGENT'
(Other definitions for tangent that I've seen before include "Line touching curve at one point" , "Straight line just touching a curve" , "A new line of thought" , "Straight line resting on a circle" , "Particular line" .)