"Expedite climb" here I have noted to mean that something has a good chance of going pear-shaped but the controller can't, or won't, think of something creative to fix it.
In our hated ATC college, in the simulator, if a trainee says "expedite" the instructor calls up the "aeroplane" and tells him to reduce the roc to teach lazy trainee a lesson.
You hear expedite, worry.
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"Cut him off and call him shorty!" - Lorenna Bobbit (Patron Saint of ATC)
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