You should be able to share a subscription or log into your existing subscription on a new device.
However, you would have to ensure that you are signed into the same Google account that you used to make the original purchase with.
Once you are signed into that account, all of your previous subscriptions will be available.

1. Exit the game, open the Play Store.
2. Tap the three horizontal lines in the top left of the screen.
3. Tap Subscriptions.
4. Look for the Dominoes Premium subscription and tap on it.

Look under Your Subscription to see your current term and expiration date.
If you do not see your subscription, you may have to log into the correct Google Play account.