I can't see any rule that prohibits the use of two clutches.
As for controls my understanding is that teams use a single clutch with two controls as described by Raymond. The rules prohibit a preset biting point on the paddles, see 9.2.2.
So, when the driver is on the grid the use one hand to fine tune a paddle at the biting point, and the other is used for full on / full off. So a start consists of:
1 - Red lights - Full off hand & Partial hand -> full off clutch
2 - Lights off - Full on hand lets go & Partial hand holds -> partial clutch
3 - Gain traction after initial wheel spin - Both hands let go -> full on clutch
FIA Regs wrote:
9.2 Clutch control :
The following applies only to the main drivetrain clutch or clutches, any clutch used exclusively as part of a KERS is exempt.
9.2.1 If multiple clutch operating devices are used, they must all have the same mechanical travel characteristics and be mapped identically.
9.2.2 Designs which allow specific points along the travel range of the clutch operating device to be identified by the driver or assist him to hold a position are not permitted.
9.2.3 The minimum and maximum travel positions of the clutch operating device must correspond to the clutch fully engaged normal rest position and fully disengaged (incapable of transmitting any useable torque) positions respectively.
9.2.4 Designs or systems which in addition to typical inherent hydraulic and mechanical properties are designed to, or have the effect of, adjusting or otherwise influencing the amount, or rate, of engagement being demanded by the FIA ECU, are not permitted.