baereli

Attached the complete function with the changes:

function save_taxonomy_field( &$field, $entry, $taxonomy ) {
            if ( $field['type'] == 'checkbox' ) {
                $term_ids = array();
                foreach ( $field['inputs'] as $input ) {
                    $term_id = (int) $entry[ (string) $input['id'] ];
                    if ( $term_id > 0 )
                        $term_ids[] = $term_id;
                }
                if ( !empty ( $term_ids ))
                    wp_set_object_terms( $entry['post_id'], $term_ids, $taxonomy,true );

            } else {
                $term_id = (int) $entry[$field['id']];
                if ( $term_id > 0 )
                    wp_set_object_terms( $entry['post_id'], $term_id, $taxonomy, true );
            }
        }