Suggested coping strategies for former Tree Style Tab users now using Chrome
- Keep less-important tabs to the right on your tab bar and use tab context menu -> 'Close tabs to the right' to close them all at once.
- Don't open everything in a new tab; follow the link normally, and if you decide you need the page you arrived from, middle-click the Back button to open the previous page in a new tab.
- Make tabs open a predictable order: Tab Position Customizer 2 can make tabs always open to the right of the current tab, instead of sometimes at the end of the tab bar.
- Quick Tabs can search open tabs and do MRU tab-switching (like Alt+Tab on your desktop) with a customizable hotkey.
I list more of the Chrome extensions I use here