A new semiempirical formula, with only three parameters, is proposed for cluster decay half-lives. The parameters of the formula are obtained by making a least squares fit to the available experimental data. The calculated half-lives are compared with an earlier proposed model-independent scaling law. Also, the calculated results of this formula are compared with the recent results of the preformed cluster model for 12 C and 14 C emissions from different deformed and superdeformed Nd and Gd parents. The results are in good agreement with experiments as well as other models. 23.90.+w,25.85.Ca,23.60.+e