Overdo it regularly with friend of a parricide (7)

I believe the answer is:

oedipal

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'overdo it regularly with friend of a parricide' is the definition.
I can't tell whether this defines the answer.

'overdo it regularly with friend' is the wordplay.
'regularly' means one should take alternating letters (regularly take one letter, leave next etc.).
'with' is a charade indicator (letters next to each other).
'friend' becomes 'pal' (pal can mean a friend).
'overdo'+'it'='overdoit'
The alternate letters of 'overdoit' are 'oedi'.
'oedi'+'pal'='OEDIPAL'

Can you help me to learn more?

(Other definitions for oedipal that I've seen before include "Relating to a son/mother complex" , "Type of complex" , "Of legendary king of Thebes" , "type of conflict arising in Greece" , "Like a boy desiring his mother" .)

I've seen this clue in The Times.

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