Mishna Shabbat 7, 3: THEY ALSO STATED ANOTHER GENERAL PRINCIPLE: WHATEVER IS FIT TO PUT AWAY(18) AND SUCH IS [GENERALLY] PUT AWAY,(19) AND ONE CARRIES IT OUT ON THE SABBATH, HE IS LIABLE TO A SIN-OFFERING ON ITS ACCOUNT.
BUT WHATEVER IS NOT FIT TO PUT AWAY AND SUCH IS NOT [GENERALLY] PUT AWAY, AND ONE CARRIES IT OUT ON THE SABBATH, ONLY HE THAT PUT IT AWAY IS LIABLE.(20)
Mishna Eruvin 10, 5: R`JUDAH RULED: EVEN WHERE A PERSON'S SPITTLE ACCUMULATED IN HIS MOUTH, HE MUST NOT WALK FOUR CUBITS BEFORE HE SPAT OUT.
See SA OC 350, 3 and BetYosef there.
Drool that he want to spite in the mouth is a pb of hotsaa according to rabbi Yehuda. Poskim discusse if this is the halacha.
For dust see SA hilchot Shabbat 301, 46
to walk with a dress soaked is prohibited rabbinically because of th risk to spin it. But hotsaa is not a problem, despite that the watwr is not a part of the dress