High-resolution electrical resistance R and $dR/dT$ measurements have been done in the (giant magnetocaloric) orthorhombic ${\mathrm{Gd}}_{5}({\mathrm{Si}}_{0.1}{\mathrm{Ge}}_{0.9}{)}_{4}$ compound to study their evolution through more than 50 thermal cycles between 300 K and 10 K. A detailed characterization of R and $dR/dT$ behavior was made near the first-order magnetostructural transition at ${T}_{S}\ensuremath{\sim}80\mathrm{K}$ and the second-order magnetic transition at ${T}_{N}\ensuremath{\sim}128\mathrm{K}.$ Important precursor effects of the magnetostructural transition exist for $0.85<~{T/T}_{S}<~1,$ causing an oscillatory regime in $dR/dT$ below ${T}_{S}.$ The resistance of a ${\mathrm{Gd}}_{5}({\mathrm{Si}}_{0.1}{\mathrm{Ge}}_{0.9}{)}_{4}$ sample initially exhibits a sharp peak at ${T}_{S}$ followed by an abrupt decrease towards a minimum slightly above ${T}_{S},$ but after a certain number of thermal cycles, a new $R(T)$ regime sets in with no peak at ${T}_{S}.$ However, no significant changes occur in $R(T)$ near ${T}_{N}.$ Thermal hysteresis associated with the first-order transition at ${T}_{S}$ shows a slow decrease upon thermal cycling, approaching virtual extinction after $\ensuremath{\sim}50$ thermal cycles. The change of the residual resistance with the number of thermal cycles was also studied and similarly displayed a saturation regime. A simple phenomenological approach is adopted in relation with the $R(T)$ behavior in different thermal cycles, since a rigorous microscopic description is very problematic at the stage due to the complexity of the problems at hand.