Adobe say the software on the PC or laptop needs to phone home at least once a month if you pay monthly, and less often (don't know how often) if you pay yearly. Apparently it doesn't stop working until it's tried quite a few times, warned you, and gone over the payment period by "weeks not days". I say "apparently" as I've never tested it; my PC and laptop are online at least every few days even when travelling, and it's never stopped working.
There was one (perhaps apocryphal) story of someone at an Antarctic base for several months without Internet connectivity, and rather unhappy when PS CC stopped working...
Correction: I've just found a few posts about this, and it appears that you can't force the system to check your licence at a particular time. When it decides it needs to check a monthly licence, you get only 7 days grace during which it must get online (See
https://forums.adobe.com/message/4759215) and if there's a payment problem (your card payment gets refused, say) then you may have as little a 5 days to sort it out (see
http://prodesigntools.com/adobe-creative-cloud-faq-frequently-asked-questions-cs6.html#internet).
Not as good as I thought, and, given my experience of the reliability or otherwise of Adobe systems, not enough time to sort out problems.