What does it mean to 按时收听?
An example of 按时's usage will be like:
按时服药 - take medicine on time

Where 按时 refers to being on time periodically.  In your case, the podcast might be on-air every night at certain time, thus using 按时.  However a better translation for will be:
"谢谢大家准时收听我们的节目"