The England prop was part of the British and Irish Lions squad which claimed a draw in the series with the All Blacks this summer.
Sinckler was arrested but released without charge following an incident on a night out after the 15-15 draw in the third Test in Auckland.
Auckland police said they arrested the Harlequins man for a "minor disorder" and Jones has warned his international charge not to repeat those mistakes in the future.
Jones said: "It is not a black mark against him but it will be if he does it again.
"Everyone can tell you what you shouldn't do but you have got to experience it yourself.
"It's a good lesson to have and I think everyone will see that and learn from it. If they don't learn from it they are in strife.
"After the tour he's got to pick his foot up a little bit better. During the tour he was asked to play a role for them and I think he did pretty well.
"He's got to understand that the team comes before the individual. If he wants to develop his rugby career, that'll be the big thing for him.
"You need to pick the right place to have a drink. After the third Test for the Lions you don't go to a crowded club in Auckland. You're going to have every idiot in Auckland wanting to take him on because they know he's a hot head."