The Blade (1995) on Netflix

Plot summary

A master who had been a friend of Ding'an's late father runs the foundry where Ding'an works. The master's daughter Ling is drawn both to Ding'an and to his fellow smith Tietou, and the two men clash after Ding'an reports Tietou for brawling with thugs. When the master names Ding'an his successor, the resentment deepens. One night Ding'an learns that Feilong, a heavily tattooed assassin, killed his father. He says goodbye to his master and sets out with his father's broken sword to take revenge. Ling follows him and runs into the thugs; Ding'an turns back to fight them and loses his right arm.