The eclipsing nova-like cataclysmic variable star V348 Pup exhibits a persi
stent luminosity modulation with a period 6 per cent longer than its 2.44-h
orbital period (P-orb) This has been interpreted as a 'positive superhump'
resulting from a slowly precessing non-axisymmetric accretion disc gravita
tionally interacting with the secondary. We find a clear modulation of mid-
eclipse times on the superhump period, which agrees well with the predictio
ns of a simple precessing eccentric disc model. Our modelling shows that th
e disc light centre is on the far side of the disc from the donor star when
the superhump reaches maximum light. This phasing suggests a link between
superhumps in V348 Pup and late superhumps in SU UMa systems. Modelling of
the full light curve and maximum entropy eclipse mapping both show that the
disc emission is concentrated closer to the white dwarf at superhump maxim
um than at superhump minimum. We detect additional signals consistent with
the beat periods between the implied disc precession period and both 1/2 P-
orb and 1/3 P-orb.