This study presents sensitive mid-infrared (MIR) photometry obtained with the Spitzer/IRAC for a young cluster in Sh 2-208 (S208) located in one of the lowest-metallicity HII regions in the Galaxy, [O/H]=-0.8dex. Previous studies suggested that the cluster is ~0.5Myr old and has a distance of D=4kpc, which is consistent with the astrometric distance from Gaia EDR3. In a ~3.5'x4' field, 96 sources were detected in at least one MIR band at >=10{sigma}, covering intermediate-mass stars with a ~1.0M_{sun}_ mass detection limit. A total of 41 probable cluster members were identified based on the spatial distributions of spectral energy distribution slopes derived from the near-infrared (NIR) KS and IRAC bands and extinctions of the sources. The cumulative distribution of the spectral energy distribution slopes for the S208 cluster was not significantly different from those of other clusters in solar-metallicity environments with approximately the same age for intermediate-mass stars, if one also considers nondetected MIR sources identified as S208 cluster members from NIR observations. This suggests that the degree of dust growth/settling does not significantly change with metallicities as different as ~1dex. The fraction of stars with MIR disk emissions for the cluster members with >=1M_{sun}_ was 64%-93%, which is comparable to the results in solar-metallicity environments. Although this may suggest that dominant disk dispersal mechanisms for intermediate-mass stars have either no or very weak dependence on metallicity, it can be argued alternatively that this may suggest that the disk dispersal process does not work effectively at this young stage.