Crossword Genius

Half-cut singer atop ramp was the Chairman of the Board? (7)

Ross

I believe the answer is:

sinatra

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

'ramp was the chairman of the board?' is the definition.
I can't tell whether this definition defines the answer.

'half-cut singer atop' is the wordplay.
'half cut' means to take half the letters.
'atop' becomes 'atra' (I am not sure about this - if you are sure you should believe this answer much more).
'singer' halved is 'sin'.
'sin'+'atra'='SINATRA'

Can you help me to learn more?

(Other definitions for sinatra that I've seen before include "'Ol' Blue Eyes'" , "Francis Albert, late lamented crooner" , "Francis Albert ..., singer and actor" , "Francis Albert, mourned singer" , "'Old Blue Eyes'" .)

I've seen this clue in The Irish Times.
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