When they asked him to stay for a longer period, he declined.
Paul didn't flee Corinth when trouble came, as he had from other places; the storm rose and fell too quickly. He stayed working as long as he labored fruitfully, then took solemn leave of the brethren with counsels and prayers, commending what was good and warning against false apostles' wiles.
AI summary
Commenting on Acts 18:18-23
And when he had landed at Caesarea,.... This was Caesarea Stratonis, formerly called Strato's tower: it would have been nearest for the apostle to have landed at Joppa, in order to go to Jerusalem, but that haven was a dangerous one; this was the safest, and which therefore Herod had repaired at a vast expense, and in honour of Caesar had called it by this...
when they desired him to tarry--The Jews seldom rose against the Gospel till the successful preaching of it stirred them up, and there was no time for that here.