LI travel Clubs do not play against each other willingly, there is not a spring or summer league for club teams. That said
LI Junior Lacrosse did have a summer league this year for middle and high school teams, which was the first time that was done. Most teams were based on your school although there were a few club teams sprinkled in mostly YJ & Elevate. I doubt it will be repeated although I thought it was done very well.