I have tried to install the plugin again in a clean (no other plugins) multisite install of wordpress.
I get notices in the dashboard of the subsite where i try to activate the plugin. The notice is:
“Notice: Trying to get property of non-object in /wp-content/plugins/woocommerce/classes/class-wc-cache-helper.php on line 44”
I am not sure whether this is related to the above mentioned problem.