Classy types showing the worlds of rounded earthy models (6)

I believe the answer is:

globes

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'models' is the definition.
(globe is a kind of model)

I don't understand the remainder of the clue.

(Other definitions for globes that I've seen before include "London theatre's" , "Spheres" , "Ball-shaped objects with maps of the world" , "Orbs" , "aids to geographical understanding" .)

I've seen this clue in the Irish Times.

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