Training baboon to do without man (5)
I believe the answer is:
drill
'training baboon' is the definition.
'drill' can be an answer for 'baboon' (drill is a kind of baboon). I am not certain of the 'training' bit.
'do without man' is the wordplay.
'do' becomes 'dill' (I can't explain this - if you can you should give a lot more credence to this answer).
'without' is an insertion indicator ('without' can be similar in meaning to 'outside').
'man' becomes 'r' (abbreviation for rook, a chess piece or 'man').
'dill' placed around 'r' is 'DRILL'.
'to' is the link.
Can you help me to learn more?
(Other definitions for drill that I've seen before include "Stout cotton cloth" , "Tool; fabric; bore" , "Monkey" , "Tool for boring holes" , "School" .)