I have a Timex T621T which is very similar to the T309TT except it has nature sounds for an alarm

https://www.manualslib.com/manual/588746/Timex-T618.html

Page 14 of similar model - how to shut off alarms.

Timex T618 Operation Manual

Hello, To turn off the alarms follow these steps -

1. After the alarm sounds, press the "F" alarm off/reset button to shut the alarm off but retain the 7-5-2 alarm settings.
2. If you want to turn the alarms completely off and cancel the 7-5-2 settings, press the "alarm" button so that the "alarm" indicator is no longer visible. As long as you can see the word "alarm" on the display the alarms will continue to go off according to your 7-5-2 alarm settings.

Regards, Tony

http://www.timex.com/info/Product_Instruction_Guides_Downloads

Many downloads here, find yours.

http://www.timex.com/info/Product_Instruction_Guides_Downloads

There are two ways to find the user manual for your Timex watch.

1. Find your watch on the list below and click on the language link for your manual.

2. Find the 3-digit module number located on the caseback of most Timex products and click on the corresponding language link for that number in the Module Table at the bottom of the page.

http://portablemedia.manualsonline.com/manuals/mfg/timex_weather_products/t311.html

You can get the manual on the link below. Just scroll down to product details to down load it.

http://www.amazon.com/Timex-T309T-Nature-Sounds-Titanium/dp/B000092TSX Good Luck and pleasrate 4 thumbs for the free answer

Go to timexaudio.com, click on Support, then Product Manuals. The T309 is in the list, but here's the direct link:

http://www.timexaudio.com/pdf/T309_IB57517_39.pdf

Here is a link to the manual you seek

http://www.timexaudio.com/pdf/T309_IB57517_39.pdf

Go to www.timexaudio.com

The link to the manual is:

http://www.timexaudio.com/pdf/T609_IB57012_29.pdf

Here's a website for the manual for the Timex T309 model. As suggested elsewhere on the web, I found this by googling Timex T309 without the t at the end. This looks to be the same model.

http://www.timexaudio.com/pdf/T309_IB57517_39.pdf