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Related to loll out: loll back
To flop, droop, or roll out (of something). The driver was so drunk that he lolled out of the car when the police officer ordered him to get on the sidewalk. The dogs all sat in a row, their tongues lolling out in the hot sun.
[for a tongue] to hang or flop out. The dog's tongue lolled out as it lay sleeping. Since the dog's tongue lolled out every time it opened its mouth, it is a wonder it didn't bite it when it closed its mouth.