'Lambeth Nick' an enigmatic nickname for singer from the south? (3,3,2,5)

'lambeth nick an enigmatic nickname' is the definition.
I know nothing about this answer so I can't tell whether it can be defined by this definition.

'singer from the south?' is the wordplay.
I cannot really see how this works, but
'singer' could be 'ani' (ani is a kind of birdanimal) and 'ani' is found within the answer.
'the' could be 't' (the is pronounced as a 't' sound in some dialects) and 't' is found in the answer.
This explanation may well be incorrect...

'for' is the link.

Can you help me to learn more?