Pinch-style clamps can be designed for use in clamping or occluding plastic tubing, such as intravenous tubing. These pinch clamps can include a soft, polymer material applied to various surfaces of the pinch clamp to prevent abrasion or irritation to the patient, increase friction between the pinch clamp and the user operating said pinch clamp, increase friction between engaged surfaces of the pinch clamp to prevent premature or unintended disengagement of the clamp, or increase friction between the outer surfaces of the tubing and the clamping surfaces of the clamp. Various features or components can be employed to prevent lateral disengagement of the pinch clamp. A pinch clamp may also be configured with rounded outer edges to enhance patient comfort.