Good amount of polish, game looked good and played well!
I got what you were going for with the swords being disconnected if a line touches a wall or enemy! Definitely was important to make sure you didn't put yourself in a bad spot by losing both your swords.
I immediately want the different colored swords to do different things. Orange burns, blue freezes. Some enemies can only be affected by one sword but not the other. Swords normally shoot forward when you click, but you do a spin attack instead when you click both at the same time. Bounce one sword off the other. Things like that!
But good game! I enjoyed it!