I've handled dispatch duties as a patrol officer and Sergeant a few years back. In my early years, they was no such time as a computer terminal for NCIC lookups so everythingwas phoned in. I thought it was great when we got out first dumb terminal.
But our town was very busy and I hated being stuck inside. Eventually most of the duties were turned over to vivilians. Some were good, some weren't so good. No different than when a cop did the job.
Probably the worst day they ever had was during 9-11 when they took many of the overflow 911 calls from the towers due to our close proximity. The civilians did an outstanding job during a tough time knowing there was nothing they could do for those people. They earned their money that day.
Down side is the hours. 24/7 in most case, possibly rotating shifts/days off.