NOT sexual, it is the action of one person lovingly (and dramatically) attacking another with a hug.
A glomp is often preadatory and lies somewhere in the grey area between a caring embrace, and a flying leap to tackle someone.
The term is used extesively in anime culture, as well as online in text form (anime because many anime characters do this often, and online because it is short and descriptive).
A runs at B as if to bowl her over, but instead picks up B and spins her around while squeezing her tightly.
=hi!.. *squeek!* cant breathe ^-^
*Glomps A back* I missed you too! My vacation was great!!
Becky sees Daren, her highschool crush. She squeals, runs up to him and glomps him from behind.
2. a some-what violent exspression of grattitude
Used alot in the anime culture and in text based chat societies, e.g. Forums, chat rooms, txt'n, etc
Matt - Oh my god, CHRIS!!!!!
Chris - You might want to get up, people might think we are...well, you know...
Matt - Dude, it was a glomp. Everyone knows glomps are cool!
Chris - Oh, OK