Point in time forward MySQL Dump
If you know the time from where you need to start the backup then you can use mysqldump with --where clause like below to get the type of backup you are looking for 

mysqldump --user=username --password=password db_name table_name  --where=date_pulled &gt; '2014-07-21 16:25:00' &gt; backup.sql


You can also do like 

SELECT * FROM table_name 
WHERE date_pulled &gt; '2014-07-21 16:25:00'
INTO OUTFILE 'table_name.csv' FIELDS TERMINATED BY ',' LINES TERMINATED BY '\n'; 


You can create a simple automated script for this and change the date_pulled dynamically.

Have a look at below links that may help you as well

 Mysqldump in CSV format. 

How to output MySQL query results in csv format?