"Constant companionship" means being together with someone or something all the time or very often, never being alone or separated from them. Full definition
They thrive on love and attention and need constant companionship from their owners and can not be left alone for regular extended periods without becoming destructive, reckless and dangerous. (europuppy.com)
From kindergarten through high school to well into adulthood, girls who seek constant companionship with one another are not considered anything out of the ordinary. (mommyish.com)
These very special dogs provide constant companionship for both the trainer and the recipient, greatly decreasing feelings of isolation, anxiety, anger, and / or depression. (joydogs.org)