1) At the start of the fight quickly snipe Fyrus.
2) Grab either of the chains and try to walk directly away from Fyrus.
3) Jump Attack into a Quickspin
4) Stand near where one of the chains will be after he reingites and snipe him again.
5) Repeat for three hits, ending blow on third hit.
All the pots around the boss room alternate between heart drops and arrow drops, if you wish you can collect arrows after the second round to have the maximum number of arrows leaving the fight (29 Arrows). You could refill hearts after first round if you are not planning on getting the heart container.
If you have the Master Sword, a roll-stab is enough damage and should be used to replace a jump attack into quickspin as it's faster.