Sir any government employee continue to job and study part time in this Ignou.it is eligible for all kinds of jobs.
If you obtain a degree from IGNOU then its applicable for all jobs. In government sector jobs there are no such restrictions in non technical or administrative sectors. But in some research positions or scientific posts there are some restriction regarding this. So if you are interested in non-technical or administrative sectors you can obviously pursue it. If you have interest in scientific sector then I would recommend you to check the eligibility of the job for the sector and if you confirm that there are no problem regarding distance education then obviously you can pursue it else you have to do it in regular mode.
I hope this answer helps. All the very best for your future endeavors!