Jim Carter wrote:

So far, every time I come out of ROG and request flight following to it
doesn’t matter where, I get a discrete squawk that allows departure to
hand me off to Memphis Center, or Dallas, or Kansas City. Coming out of
LIT however I’ve never been given anything except a local code and then
about 15 miles out the familiar “radar advisories terminated, squawk
VFR, have a nice day”.

I specifically tested this twice on Friday, making sure that when I
called up clearance delivery and then ground that I made it very plain
that I was requesting flight following. Both times, again they dumped me
from the system between 15 and 20 miles out. The second time, I forced
the issue and stated that I was requesting flight following for the
enroute segment if able. I was then given a Memphis enroute code and
handed off within about 10 miles.

That happens based on the experience of the tower, same thing happens
here. Fully 99% of the aircraft do not want FF past my airspace.
Therefore everybody gets terminated. For the odd duck that wants it he
has to request it in plain language and we will give him the service.
Just state to ground control that you want FF with the center.