Bag male brought into class after exam (7)
I believe the answer is:
satchel
'bag' is the definition.
(I've seen this before)
'male brought into class after exam' is the wordplay.
'male' becomes 'he'.
'brought into' is an insertion indicator.
'class' becomes 'cl' (I've seen this in other clues**).
'after' means one lot of letters go next to another.
'exam' becomes 'sat' (standard attainment test, UK exam).
'he' going inside 'cl' is 'chel'.
'chel' after 'sat' is 'SATCHEL'.
(Other definitions for satchel that I've seen before include "Shoulder bag as for schoolbooks" , "Bag with a flap and strap" , "What's carried by pupils" , "Get school item" , "Bag -- latches (anag)" .)