It is possible to LJA over the trigger where Midna tells you to go back and beat the forest temple. This allows you to exit Faron without beating Forest Temple or clearing the twilight. This is currently used in Any% and Any% No S+Q.
1) You need to stand with Link's left foot just infront of the two black spots on the ground shown in the video.
2) Target as far left as possible without targetting the fence
3) LJA over the trigger (you can get a double LJA into the trigger)
Please note the positioning is quite precise.
There are several setups for Faron Escape with the ones done by Dragonbane and sva being the two most promiment.
Dragonbane's setup as human:
Sva's setup as wolf:
It is possible to position Epona near the gate in such a way that you can jump attack and get pushed by epona into the gate, you can then bonk out like Faron Gate Clip. Note the gate is only here during the Ordon days of the storyline, and day 2 is required for the sword.
By positioning Epona close to the gate and backflipping into it, you can clip inside it. Roll and bonk against the center to clip out onto the other side. As with Epona and Jump Attack, since this involves the gate, this only works prior to rescuing Talo on Ordon Day 2.