Really seeing animal's head by grasping under antler, avoiding all medical dramas (10)

I believe the answer is:

abundantly

I'm a little stuck... Click here to teach me more about this clue!

'really' is the definition.
Both the definition and answer are adverbs. Perhaps there's a link between them I don't understand?

'animal's head by grasping under antler avoiding all medical dramas' is the wordplay.
I cannot really understand how this works, but
'animal' could be 'ant' (ant is a kind of animal) and 'ant' is located in the answer.
This explanation may well be incorrect...

'seeing' acts as a link.

Can you help me to learn more?

(Another definition for abundantly that I've seen is " in spades".)

I've seen this clue in The Guardian.

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