To roll up is to turn a sleeve over on itself, again and again. Two or three turns and it stays put.
It applies to sleeves, trousers, mats, posters and carpets. Rolling your sleeves up has become a metaphor for getting down to hard work, and it is used far more often figuratively than literally. There is a second sense meaning to arrive, usually late, so rolling up at eleven is a complaint. And roll up is the traditional shout of a fairground barker calling people in.
The "arrive by vehicle" sense involves the notion of being on wheels (or, similarly, on tank treads); it is conceptually coordinate with walk up as in "approach"; thus, both can take to as preposition (e.g., roll up to, walk up to, belly up to).
Etymology from Wiktionary, CC BY-SA
Practised in Clothes & Fashion, A Man Called Ove
First appears in chapter 3 of A Man Called Ove.
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