mysql> create table test(tstamp timestamp);
Query OK, 0 rows affected (0.03 sec)

mysql> describe test;
+--------+-----------+------+-----+-------------------+-------+
| Field  | Type      | Null | Key | Default           | Extra |
+--------+-----------+------+-----+-------------------+-------+
| tstamp | timestamp | NO   |     | CURRENT_TIMESTAMP |       |
+--------+-----------+------+-----+-------------------+-------+
1 row in set (0.00 sec)

mysql> INSERT INTO test(tstamp) VALUES('FOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOo');
Query OK, 1 row affected, 1 warning (1.18 sec)


mysql> select * from test;
+---------------------+
| tstamp              |
+---------------------+
| 0000-00-00 00:00:00 |
+---------------------+
1 row in set (0.00 sec)