Your answers to questions, quizzes, and other conversation types won't be lost if you cancel your subscription. The progress with your partner is not attached to any membership.
However, free users can only access the question or quiz of the day. If you miss out on a Daily Question or Quiz, you won't be able to answer it unless your partner answered it on the day it was published.
If you have any more questions on this topic, please get in touch at support@paired.com or message us directly via the app and we'll come back to you shortly!