  We present high cadence multi-frequency radio observations of the long
Gamma-Ray Burst (GRB) 190829A, which was detected at photon energies above 100
GeV by the High Energy Stereoscopic System (H.E.S.S.). Observations with the
Meer Karoo Array Telescope (MeerKAT, 1.3 GHz), and Arcminute Microkelvin Imager
- Large Array (AMI-LA, 15.5 GHz) began one day post-burst and lasted nearly 200
days. We used complementary data from Swift X-Ray Telescope (XRT), which ran to
100 days post-burst. We detected a likely forward shock component with both
MeerKAT and XRT up to over 100 days post-burst. Conversely, the AMI-LA light
curve appears to be dominated by reverse shock emission until around 70 days
post-burst when the afterglow flux drops below the level of the host galaxy. We
also present previously unpublished observations of the other H.E.S.S.-detected
GRB, GRB 180720B from AMI-LA, which shows likely forward shock emission that
fades in less than 10 days. We present a comparison between the radio emission
from the three GRBs with detected very high energy (VHE) gamma-ray emission and
a sensitivity-limited radio afterglow sample. GRB 190829A has the lowest
isotropic radio luminosity of any GRB in our sample, but the distribution of
luminosities is otherwise consistent, as expected, with the VHE GRBs being
drawn from the same parent distribution as the other radio-detected long GRBs.
