... Oliver? Something to go on bread, that is (5)

I believe the answer is:

jamie

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'oliver? something to go on bread that is' is the definition.
'jamie' can be an answer for 'oliver?' (TV chef Jamie Oliver). I'm unsure of the remainder of the definition.

'bread that is' is the wordplay.
'bread' becomes 'jam' (I can't explain this - if you can you should believe this answer much more).
'that is' becomes 'ie' (short for Latin 'id est', 'that is').
'jam'+'ie'='JAMIE'

Can you help me to learn more?

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

I've seen this clue in The Telegraph.

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