Saudi Arabia operates an employer/employee sponsor scheme, the employer has to obtain a work visa for the employee who then resides in the country with a residence permit called an Igama. Generally the amount of time that the employee leaves the country per contract is stipulated by the employer, it might be only once!
But in your case, you can obtain a 6 month multiple exit/re-entry visa at your own cost of SAR500, you can then leave the Kingdom every month on your days off, plus I believe that you get ACM travel, this is travel in uniform on company flights, no visa used as you are officially on the Gen Dec....
So in short, in your position you arent restricted.
Make sense?
Mutt