Users who only have select privileges on some of the columns in a table are unable to browse.

Is this something we can fix?

SQL to make reproducing easier:

GRANT USAGE ON *.* TO 'col'@'%';

GRANT SELECT (name, id), INSERT (name, id), UPDATE (name, id), REFERENCES (name, id) ON `test`.`col` TO 'col'@'%';

and to create the table:

CREATE TABLE `col` (
  `id` int(11) NOT NULL,
  `name` varchar(255) NOT NULL,
  `email` varchar(255) NOT NULL
) ENGINE=InnoDB DEFAULT CHARSET=latin1;