Anything described as continuing is ongoing; it's doesn't stop. A continuing rain goes on and on and on.

When something continues, it doesn't end, so anything that is continuing lacks an ending. Comic books feature the continuing adventures of Batman, Spider-Man, and other heroes: the comics keep going without an endpoint. A chronic illness could be described as continuing: it stays with you and doesn't go away. If you have continuing money problem, your money problems are endless: you always have them. Most things end, but not continuing things.

Definitions of continuing

adj remaining in force or being carried on without letup

“the act provided a continuing annual appropriation”
“the continuing struggle to put food on the table”
without stop or interruption

adj of long duration

primarily temporal sense; being or indicating a relatively great or greater than average duration or passage of time or a duration as specified

Sign up, it's free!

Whether you're a student, an educator, or a lifelong learner, can put you on the path to systematic vocabulary improvement.