Man on top first, change lady under him liked initially (6,7)

I believe the answer is:

edmund hillary

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'man on top' is the definition.
The definition suggests an adjective which matches the answer.

'change lady under him liked initially' is the wordplay.
'change' indicates anagramming the letters.
'initially' indicates taking the first letters.
The first letter of 'liked' is 'l'.
'lady'+'under'+'him'+'l'='ladyunderhiml'
'ladyunderhiml' is an anagram of 'EDMUND HILLARY'.

'first' is the link.

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I've seen this clue in The Times.

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