The TC shows rate of turn/yaw and rate of roll (unless it’s a turn and slip indicator, then it’s just turn rate)
The inclinometer shows the balance between the horizontal component of lift (centripetal) and the centrifugal force acting on the outside of (tangential to) the turn.
The two together will absolutely provide a good indication of adverse yaw if you know what to look for, but it will not quantify it to a useful degree. As you roll into the turn without proper rudder, if the ball initially falls to the inside of the turn then slowly starts to recover (again without rudder), that was the adverse yaw, which is now decreasing as the bank is established and you remove the aileron deflection.
Note that if you’re in an airplane or at a bank angle that requires continuous aileron input (like strong dihedral or overbanking tendency), the adverse yaw will continue.