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That feeling caused by intense longing, nostalgia or heartwarming which is really intense and feels like someone or something has reached into your chest and is squeezing your heart.
"Terry gets massive heartsqueeze every time she sees photos of her old cats."

(1) Did you watch that really famous super sad movie?
(2) Yeah. Still can't get over dat heartsqueeze.
by Maam Femshep January 07, 2014