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A person who is generally good looking but has something about them which isn't quite right whether that be a physical trait or apprearace from certain angles, mannerism or about their style/clothing. Often you know a person has a spastic edge but you cannot quite put your finger on the cause.
"The barman is fit but he's got a spastic edge"

"What a freak - they are a paragon of spastic edges"
by CindaBones March 08, 2009