Unfortunately, there is no option to pause your subscription at Ahrefs. 

Instead, you can cancel your subscription and re-subscribe when you're ready to join us again (be sure to click both fields shown on below screenshot to enable "Cancel subscription" button):
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Cancellation takes effect at the end of the current paid period – after which, your account will be downgraded to our free AWT plan.
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If you have any questions or issues with cancellation, please contact us at [email protected] or drop us a note in a live chat.