Fleahead, it could be the grid heaters doing their normal cycling. When starting the truck in colder climates, after the "wait to start" light goes out & you start the truck, the grid heaters will cycle on & off. You can see this by watching the alternator needle go to full left (discharge), then to the middle(normal). Depending on how cold it is when starting, it will do this a few times. I believe when temps are at and below 59 deg. the grid heaters kick in.
If you suspect a worn or bad alternator, watch the alternator gauge after the truck has been running & is up to temp (warmed up ). When idling at around 750 RPM, if the gauge is to the discharge side and goes to normal when increasing engine speed, you might need a new alternator. I have a '97 also & had to change it last Feb. when it was doing what I described. That took care of that. If you change the alternator & have to get one at an auto parts store like Auto Zone, make sure you get a 136 amp alt. The store computer will show the truck needing a 120 amp, but the CTD's take the 136's. Hope this helps... John