The present invention relates to a cosmetic composition for caring for and/or making up keratin fibres, and more particularly the eyelashes, comprising, in a physiologically acceptable medium, at least: - isododecane, - 3% by weight, relative to the total weight of the said composition, of elastomeric polymer(s) comprising at least one unit chosen from isoprene, butadiene and/or butylene, and - a tackifying resin with a number-average molecular weight of less than or equal to 10 000 g/mol, chosen from rosin, rosin derivatives, and hydrocarbon-based resins, and mixtures thereof, the said elastomeric polymer(s) being free of styrene monomer, and having a molecular weight of greater than or equal to 100 000 g/mol and preferably greater than or equal to 1 000 000 g/mol.