Taxonomy Quick Edit field – Save column user data

/**
 * Callback runs when category is updated
 * Will save user-provided input into the wp_termmeta DB table
 */
function gwp_quick_edit_save_category_field( $term_id ) {
    if ( isset( $_POST['first-appeared'] ) ) {
        // security tip: kses
        update_term_meta( $term_id, 'first-appeared', $_POST['first-appeared'] );
    }
}
add_action( 'edited_edition', 'gwp_quick_edit_save_category_field' );