What did you do to "overhaul" the secondary, so we know what all is new or has been checked?
Not much to a secondary. Spring, can get weak or "sag"; tension can be adjusted by adjusting which holes the spring sets in; helix ramp buttons wear and get badly worn and/or notched; 3 wear bolts on the very back of the clutch that wear, they are for setting belt deflection, although if they wear it causes the belt to sit higher and many times squeal at idle...belt too low in sheaves is like trying to take off in second gear (belt deflection, the belt should sit even with the top of the sheaves or up to 1/8" above).
Belt can also get worn too thin and cause the same second gear takeoff kind of situation. Belt can also get spun bad enough to really harden the edges where it rides and ruin how well it will grip.
Sheaves should be cleaned well with a green scotchbrite pad. Just warm soapy water, don't want a solvent that will not come off and leave a slick film.
Could also be something else binding up that causes it to slip until it is broke free. You should pull the belt off, raise the track off the ground and turn everything by hand to see how freely it moves. If it only does it after it has sat, mimic that situation when you check for everything to move freely.