Kenmore won't spin

My sympton is similar to a previous posting in that the washer fills, agitates and drains but won’t spin. It’s had trouble starting spinning for several months now but could always be coaxed into spinning by drepressing the lid switch and rotating the tub, but no more. I do not have the black rubber shavings underneath but do notice some transmisson grease. Is a faulty clutch the spin problem or something else?