"continues using" is grammatically correct and can be used in written English.
Example: Despite the challenges, she continues using her skills and knowledge to improve the company's performance.
Meanwhile, Spirit continues using her scientific instruments to study her location at Troy.
In the last section the chorus continues using a different meter and filling in with nonsense syllables such as ba and bo.
We should be worried that the alarmist establishment continues using junk science to promote disastrous policies that will make the world much poorer".
There is every reason to believe that, as long as the buyer continues using the methods and strategies of the current owner, the success will continue.
"The striking thing for me is that a good proportion of this group continues using," said Dr. Yih-Ing Hser, an adjunct professor at U.C.L.A.'s Neuropsychiatric Institute and the lead author of the study.
"American classical music," Jamal continues, using the term he coined for jazz years ago, "interpreted the works of composers such as the Gershwins or Irving Berlin beyond their wildest dreams.
