Tire comprising at least one structural element including a crosslinked elastomeric material obtained by crosslinking a crosslinkable elastomeric compositon comprising:(a) 100 phr of at least one diene elastomeric polymer; (b) from 5 phr to 120 phr, preferably from 10 phr to 80 phr, more preferably from 20 phr to 50 phr, of at least one layered material modified with at least one alkyl ammonium or alkyl phosphonium salt, said layered material having an individual layer thickness of from 0.01 nm to 30 nm, preferably of from 0.05 nm to 15 nm, more preferably of from 0.1 rim to 2 nm; (c) from 0.05 phr to 2 phr, preferably from 0.1 phr to 1 phr, more preferably from 0.2 phr to 0.5 phr, of at least one N-acyl-sulfenyl amide;, (d) from 0.3 phr to 5 phr, preferably from 0.5 phr to 4 phr, more preferably least one organic or inorganic acid or a derivative thereof selected from: carboxylic acids, phosphoric acids, sulfonic acids, boric acids, or derivatives thereof. Preferably, said at least one structural element is selected from bead filler, sidewall insert, tread underlayer, tread base.