Tired of my work at transport, believe me! (4,2,4,3,2)

I believe the answer is:

take my word for it

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'believe me' is the definition.
I don't know anything about this answer so I cannot tell whether this works.

'tired of my work at transport' is the wordplay.
'transport' indicates an anagram (I've seen 'transported' mean this).
'tired'+'of'+'my'+'work'+'at'='tiredofmyworkat'
'tiredofmyworkat' is an anagram of 'TAKE MY WORD FOR IT'.

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(Other definitions for take my word for it that I've seen before include "Have faith" , "Tees to provide some lovemaking synonym?" .)

I've seen this clue in the Sydney Morning Herald.

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