I am getting reports of this as well with the same versions. Hope this gets fixed soon as people can’t checkout with IE due to this issue.
I just got replied from WC team. Here is a quick temp fix – https://github.com/woothemes/woocommerce/issues/7729
I tried solution from karpstrucking. Worked beautifully!
Or you can roll back to 2.3.5.
Fixed in WooCommerce 2.3.7
It seems not totally fix with 2.3.7 and FF . I have 2 installations neally the same : one is OK and the other is NOK (states drop down selection).
I have 2 Woocommerce sites with exactly the same technical configuration with wordpress 4.1.1 and WooCommerce 2.3.7 (twins sites). One is the upgrades Test site before to go in production in the second, the Prod site. When called from Firefox on Linux, the states dropdown is OK in the Test site, but is NOK in the Prod site. This seems a random behavior while the source generated by WooCommerce appears to me exactly the same.
By testing more detail I come to the following situation:
Tested from Windows8 IE(11) : Test site OK , Prod site OK
Tested from Windows8 FF(36.0.1) : Test site OK , Prod site OK
Tested from Linux Chrome(41.0) : Test site OK , Prod site OK
Tested from Linux FF(36.0.1) : Test site OK , Prod site NOK
There seems to be a rather capricious behavior with Firefox Linux.
