Drink alone in a flirtatious way (9)

I believe the answer is:

teasingly

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'in a flirtatious way' is the definition.
I can't tell whether this defines the answer.

'drink alone' is the wordplay.
'drink' becomes 'tea' (tea is a drink).
'alone' becomes 'singly' (I've seen this in another clue).
'tea'+'singly'='TEASINGLY'

Can you help me to learn more?

(Other definitions for teasingly that I've seen before include "in playful fashion" , "not to be taken seriously!" , "how some jokers behave" .)

I've seen this clue in The Times.

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