Just a little coat tail, nowadays (3)

I believe the answer is:

tad

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'just a little' is the definition.
I can't tell whether this defines the answer.

'coat tail nowadays' is the wordplay.
'tail' indicates one should take the final letters.
'nowadays' becomes 'AD' (AD, Anno Domini, as opposed to BC, Before Christ).
The last letter of 'coat' is 't'.
't'+'ad'='TAD'

Can you help me to learn more?

(Other definitions for tad that I've seen before include "Smidgen" , "A small amount (colloq.)" , "Little bit" , "Slight amount" , "little boy" .)

I've seen this clue in the Evening Standard.

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