I try to predict these moves and after the game is released we have to come back here and see if i was right hoping:
SSSSS is the Kick at the end
TTT is Color Strings
TTS is the circle around doffy
TTSS is the rotating circle
Everythings else was just an speculation
–- Update From New Post Merge ---
Ok First: All moveset predictions were out of my memory. But now i rewatched the gameplay again and noticed a few mistakes (BlueOGRE was right):
X = Cross
C = Circle
S = Square
T = Triangle
X = Dash
X (hold) = Running
C (1 Bar) = 1. Special Attack: Heat
C (hold) (2 Bars) = 2. Special Attack: Birdcage
ST = Doffy jumps and stays in the air with his back facing the ground and slices the enemys
STT = Doffy stomps his Strings into the ground
SST = A circle appears around Doffy which makes everybody his puppet
SSTT = Doffy rotates all puppets
SSST = Doffy using his DF to swing in the Air dashing forward
SSSST = Straight Line that goes forward
SSSSS = Kick
TS = Calling the clone
TSS = Punching with Haki
TTS = A circle appears in front of Doffy which makes everybody his puppet
TTSS = Haoushoka
TTT = Color String
Kizuna Rush additional moves:
(List is not complete, because the Kizuna Rush Mode wasn't shown enough)
STTT = Doffy shooting Strings to the air from left to right
SSTTT = Extended version of SSTT
TSSS = "Wasn't used" or Extended version of TSS
TTSSS = "Wasn't used"
So, that list should be alright