Available from Version 2.3.1

Here is code snippet for usage of target page settings filter

/**
 * Callback function to add more conditions for target page settings
 *
 * @param bool $display
 * @param string $style_id
 * @return bool $display
 */
function your_callback_function( $display, $style_id ) {

	// Replace style id with your style ID
	if( $style_id == 'cp_id_d3a5b' ) {

	    // your custom logic
	}

    return $display;
}
add_filter( 'cp_target_page_settings', 'your_callback_function', 10, 3 );

Sample Usage:

Consider you want to display your style only to users who have an author role,

/**
 *  Display style only to users with author role
 */
function check_user_role( $display, $style_id ) {

	// Replace style id with your style ID
	if( $style_id == 'cp_id_bb2b8' ) {

	    if( is_user_logged_in() ) {

	    	// get current user role
			$current_user = new WP_User(wp_get_current_user());
			$user_roles = $current_user->roles;

			if( in_array( "author", $user_roles ) ) {
				$display = true;
			} else {
				$display = false;
			}
		} else {

			// hide style for non logged in users
			$display = false;
		}
	}

    return $display;
}
add_filter( 'cp_target_page_settings', 'check_user_role', 10, 3 );

To execute this function, add above code in your theme’s functions.php file.

IMPORTANT NOTE:  This filter will overwrite target page settings

Where can I find my Style ID?

1. Open your style in the editor.
2. Go to Design -> Advanced Design Options Panel.
3. Scroll down to the bottom of that section, you will find your style ID.