Stealthily pursuing son holding conversation (8)
I believe the answer is:
stalking
'stealthily pursuing' is the definition.
'stalking' can be an answer for 'pursuing' (stalking is a kind of pursuing). I'm not sure about the 'stealthily' bit.
'son holding conversation' is the wordplay.
'son' becomes 'sing' (I can't explain this - if you can you should believe this answer much more).
'holding' indicates putting letters inside.
'conversation' becomes 'talk' (talk is a kind of conversation).
'sing' placed around 'talk' is 'STALKING'.
Can you help me to learn more?
(Other definitions for stalking that I've seen before include "providing unwanted attention?" , "Following stealthily" , "After game" , "Covertly following" , "Carefully following" .)