Sometimes also known as a "Melee Mistweaver" or "Meleeweaver".
The term is used to define how a Mistweaver spec of the monk class can heal nearby allies while attacking mobs. Additionally, monks fight with their fists as a primary means of attack. Therefore Fistweavers as opposed to "Mistweavers" has gained much popularity among the gaming community.
The term since then has gained much attention on World of Warcraft forum website.