For openers, you must reduce to a three-card end position where you have the ♥K J and a club and West the ♥Q 10 9. You lead your club, West ruffs and is trump endplayed. In order to reach this ending, West must have started with three or four clubs. Therefore, your first move is to find out which and play accordingly. So after finding out the bad news in trumps, cash the ♣A K (pitching a diamond from dummy) and see what happens.
Scenario I: Clubs are 3–3. In order to arrive at the desired ending, West must have started with a 3=4=3=3 pattern including the ♠Q as you must discard a club on a third spade to arrive at the winning ending where you must remain with one club. Play the ♦A, ruff a diamond, cash the ♠A, take the spade finesse discarding a club on the ♠K, and ruff another diamond. Now lead your fifth club. West ruffs, but you take the last two tricks with the ♥K J.
Scenario II: West has four clubs. To survive this club division, West must be either 2=4=3=4 or 3=4=2=4, and you have to ruff twice in your hand to reduce to the proper trump length.
When West has four clubs, you must not cash a fourth club prematurely as you will be squeezing the dummy. Say you start with the ♦A and a diamond ruff and then play the ♠A and a low spade towards dummy’s K–J. If West plays the queen, believe him, win the ♠K and ruff a second diamond. If West plays the ♠9 and ♠10, chances are that West has the ♠Q and was afraid to lead from either queen. Also, a doubleton spade lead would likely be more attractive than low from four small. So if you are right, win the ♠K and ruff a spade to bring about the desired ending.
