Yes, after a while it will, just like with any dose.
The way i see it, without getting into a debate on what exact chemical processes are at play, is that the human brain is a system. Like all systems, it is made up of structures, which are inter-related in such a way that the state of one influences another so as to promote equilibrium and systemic integrity. Now, when you introduce another structure (opiates) to a system , all the others are going to change to compensate for the imbalance and in time systemic equilibrium will be attained once again. When that new structure is taken out (discontinuation of opiod therapy) the system is going to be thrown off (sleeping troubles, anxiety, the slew of PAWS symptoms) until specific structures (like endorphin production, receptor density) modify themselves, and system regains equilibrium again.
That being said, they will be mild relative to someone on a high dose.