There is a Storage Bug (feature???) in the 78.15esr Browser. Seems that mozilla did not logically execute the "clear cache" option (enabled in AP22) properly. This WILL cause reduction in the free save-file space (aka personal storage: the green cylinder in the tray) And it got nasty big rather fast. I found a way with help from Burunduk such that only the necessary caches remain.
NONETHELESS, one still has to delete the -current version of these files manually, as they WILL add to the base files. To be honest here, if your save file is getting too small, one has to pop in the CD/DVD and reload AP22 (I had to do this, thats one BAD for moz). So there goes a half-hour.
1.) Disconnect from internet and open Browser. Click edit/preferences. Click on SECURITY then scroll down to Cookies & Site Data. CHECK Delete When Closed. Click on Clear Data, make sure BOTH boxes are ticked. Do not clear the cache yet.
2.) Scroll down to History, and UNCHECK "Always Use Private Mode", then select "Use Custom History". Click on SETTINGS and tick all boxes EXCEPT cache. Click OK. Do not clear History.
3.) Close browser. Then in puppy navigate to /root and show hidden files (<o> icon). Click on .cache then mozilla-->firefox-->xyz.default
4.) In here are 4 directories... we are only concerned with cache2 and startupCache
a.) In cache2 delete both folders.
b.) In startupCache delete any file with a "01" icon
c.) Navigate up to /root again then .mozilla. In here, follow firefox-->xyz.default-->datareporting-->archived. Delete all previous months listed. In the current month 'select-all' and delete.
5.) Close the navigation window, and open the Browser.
a.) In edit-->preferences-->security click on the custom browser settings and check the cache box. click OK.
b.) In the URL address bar type about:config and OK. Use the search term telemetry, and mark toolkit.telemetry.archive.enabled as FALSE
6.) Menu--> Shutdown--> Restart X.
7.) Upon restart, in puppy /root/.cache again: delete all files within Entries, then delete all files with a "01" icon in startupCache. Then close navigation.
What a mess, but it does work. And Step 7 has to be repeated after closing the browser EVERY TIME. At least at this point one can connect to internet and open Browser. 
How bad is this??? eventually these files get copied into /initrd/ro_1 and the save-file.
*** EDITED TWICE *** To avoid Rule 7 repetition one will have to use Command Line and invoke a small script to a.) open Browser, b.) run three or four rm -f pathways to the cache. Otherwise Step 7 takes about 30-60 seconds of your life away. The about: config nitpick will be included in next update. So will removing servers and un-needed vid-drivers. But the original will remain for those needing servers.
Regards
8Geee
, I opened Firefox, just little time, I entered the Puppy forum and YouTube, but I did not notice the problem of reduction in the storage space.