Bedlam breaks out … the fan’s friend drags her off while Ice Spice jumps from table to table running after her.

We also have video from outside … which shows Ice Spice picking up a phone she found on the ground belonging to one of the people with the fan who accosted her — which she allegedly smashed.

Ice Spice and the others argue — curse words fly back and forth — as Spice and her friend turn to go. In another clip, taken while they are crossing the street, the fan throws another punch at Ice Spice, and a scuffle ensues.

Ice Spice’s attorney Bradford Cohen tells TMZ … “The unprovoked attack on my client has been reported to the LAPD and we will be pursuing any and all avenues to hold the perpetrators responsible for their actions, including criminally and civilly. We are also exploring holding the location responsible for their lack of appropriate security.”

We spoke to Vayah — the woman seen hitting Ice Spice in the video — who laid out her version of events … claiming Ice Spice was very rude to her when she tried to politely show her love for the star. She says Spice called her a “bitch” — and she slapped the rapper for it.