No, Safes doesn't enforce any limitations on either Wi-Fi or Mobile Data usage since it needs internet to be able to fully monitor your child's device. If you apply limitations on your child's internet usage, the safety restrictions that you want to be set on your child's device might not be implemented. The reason is that they might finish their data cap with no internet remaining for the Safes to operate correctly. However, if you wish to control their data usage, you can set restrictions on their installed apps, like browsing applications, with our Smart App Rules feature.