Perhaps tiger at first makes no time for aardvark (8)

'perhaps tiger' is the definition.
I don't know anything about this answer so I can't tell whether this works.

'at first makes no time for aardvark' is the wordplay.
I cannot really see how this works, but
'at' is present in the answer.
'first' could be 'a' (first letter of the alphabet) and 'a' is located in the answer.
'no' could be 'n' (common abbreviation y/n) and 'n' is present in the answer.
'aardvark' could be 'me' (where the crossword setter is 'Aardvark') and 'me' is found in the remaining letters.
The remaining letters 'er' is a valid word which might be clued in a way I don't understand.
This may be the basis of the clue (or it may be nonsense).

Can you help me to learn more?