All enchanted items show a purple glint when enchanted, and the Elytra should be no exception. However, only the item icon has this feature, when being equipped by an entity, it displays as a regular unenchanted Elytra.
MCPE-42472
Elytra model doesn't display glint when enchanted
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Thank you for your report!
However, this issue has been closed as a Duplicate of MCPE-23020.
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