Order foe to get changed given make-over by Thatcher? (8)

I believe the answer is:

reroofed

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'make-over by thatcher?' is the definition.
I can't tell whether this defines the answer.

'order foe to get changed' is the wordplay.
'to get changed' is an anagram indicator (letters change around).
'order'+'foe'='orderfoe'
'orderfoe' is an anagram of 'REROOFED'.

'given' acts as a link.

Can you help me to learn more?

I've seen this clue in The Independent.

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