A name to preserve, that is? (5)

I believe the answer is:

jamie

'a name' is the definition.

'preserve that is?' is the wordplay.
'preserve' becomes 'jam' (jam is a kind of preserve).
'that is?' becomes 'ie' ('i.e.' can be a synonym of 'that is'**).
'jam'+'ie'='JAMIE'

'to' acts as a link.

(Another definition for jamie that I've seen is " -- Oliver, chef".)

I've seen this clue in the Evening Standard.

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