Old man's bandaged up in a series of grunts (7)

I believe the answer is:

oinking

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'bandaged up in a series of grunts' is the definition.
I can't judge whether this defines the answer.

'old man's' is the wordplay.
'old' becomes 'o' (abbreviation as in OT - Old Testament).
'man' becomes 'inking' (I am not sure about this - if you are sure you should believe this answer much more).
'o'+'inking'='OINKING'

Can you help me to learn more?

(Other definitions for oinking that I've seen before include "Sound from pen" , "farmyard noises" , "Noise from Tamworth" .)

I've seen this clue in The Times.

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