The most common and most likely answer to this crossword clue is the 8 letter word INVOLUTE
I've seen this crossword clue in Financial Times
I
N
V
O
L
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The straight part
We know that "with rolled edges" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case with rolled edges = involute.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.
What does INVOLUTE mean?
INVOLUTE noun- A curve that cuts all tangents of another curve at right angles; traced by a point on a string that unwinds from a curved object.
- To roll or curl inwards.
- Difficult to understand; complicated.
- Having the edges rolled with the adaxial side outward.
- (of shells) Having a complex pattern of coils in which younger whorls only partly surround older ones.
- Turned inward at the margin, like the exterior lip of the shells of species in genus Cypraea.
- Rolled inward spirally.