As an example, here's a link to some Flickr images of what is claimed is a melted MagSafe connector.
The complaint, filed last week in San Jose, California says that eventually the cord will fray from heat or wear, with a resulting danger of fire and injury. The suit, filed by plaintiffs Tim Broad, Naotaka Kitagawa and Jesse Reisman says Apple is aware of the problem and has done nothing about it.
The suit also claims when people demonstrate the problem to Apple, the company suggests they buy another $80.00US cable. Actually, we reported in August that Apple was replacing damaged or worn cables if they were not subject to abuse.
Apple has not commented on the lawsuit. It will be interesting to watch this one wind through the courts.
The power connector was introduced at Macworld in January, 2006. It has not always received positive reviews, even at the Apple Store.
Apple MacBook Air 13-inch (early 2015)
Apple MacBook Pro 15-inch with Retina Display (mid 2014)