Hi Random, welcome to the Seven Forums.
You have nothing to worry. To connect to a network, you need an IP-address. When a NIC (Network Interface Controller) like your LAN card or WiFi gets an IP-address from DHCP controller (Dynamic Host Configuration Protocol), the server gives your NIC an IP-address and a lease i.e. how long this connection is OK.
When the time runs out, the lease is automatically renewed.
Your only problem is to remember to pay your provider bills, that is the only "lease" you have to worry about.