In Subscriptio there is "Pause" function available for subscriptions - it stops all the current transactions and puts the subscription into "paused" mode.
But when it's resumed the subscription can be hanlded in 2 different ways.
In settings (tab "Schedule") you can find this option:
As you can see there is an explanation:
"Choose whether to extend the prepaid subscription term by the amount of days subscription was paused or suspended."
So if this is checked, then the subscription will be extended on the paused interval, as if no payments were needed.
If not, then all missed payments should still be collected - it works just as pausing from regular payments, but doesn't remove the need for user to pay the agreed amount later.