We limit the contribution of the hot intracluster gas, by means of the Sunyaev-Zeldovich effect, to the temperature anisotropies measured by the Tenerife experiment. The data are cross-correlated with maps generated from the ACO cluster catalog, the ROSAT PSPC catalog of clusters of galaxies, a catalog of superclusters and the HEAO 1 A-1 map of X-ray sources. There is no evidence of contamination by such sources at an rms level of ~8 μK at the 99% confidence level at 5° angular resolution. We place an upper limit on the mean Comptonization parameter of y<=1.5×10-6 at the same level of confidence. These limits are slightly more restrictive than those previously found by a similar analysis on the COBE/DMR data and indicate that most of the signal measured by Tenerife is cosmological.