Keep serpent's zeal up while using jab for chi to do other moves and you're usually golden.
But provided bosses do not have a big burst damage phase and everyone stays out of the fire yes its entirely possible to run every current heroic dungeon doing nothing but "fistweaving" and get through 100% okay.
Doing this i can pull between 12k-20k dps on a regular basis on single target fights. Anyone who says it is not viable for the current content we are doing is simply doing it wrong.
But to reach a good HPS you will blow your mana so much fast than just healing the conventional way.
And on Raids don't even think about healing with melee, maybe when you get overgeared like the last month of cata while even priest was ok to heal with atonement on the fights... but up to over geared don't even melee (only jab if you need the Chi, but black kick and tiger palm is useless)
Melee healing with eminence is equal to priest atonement, to level 1-90 you can just fine... but on early heroics and raids its a meh
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