So, a long as you use a wide grip, you will be fine and this is how it should be done! For example, you could use fairly heavy dumbbells for the explosive standing clean and press portion of this movement.
For example, if you bicep curl 20 lb dumbbells in each arm that would count as 20 lb not the total 40 lb.
Always check with your physician, however, before beginning weightlifting to ensure you are in good enough health.