You probably want to make sure the table is active (clickable) on your document itself first. If it works on the document it should work when you upload it to Kindle (but again, I'm no expert on that part of the process).
1) The Table of Content is active is MSWORD, if I do not remove page numbers. In that case I click on dotted line segments (leading to page numbers), in order to jump to a chapter or section.
2) I tried something else, while waiting to a rely from amazon's customer's service. That say that a book can be submitted as an html file. I composed such sample file (see below) and uploaded it to Kindle. They converted it into a draft of a kindle book and I read it. The Table of Content, and the text below it, were displayed but the TOC was not active.
Opening the same file in a browser, however, did produce an active TOC, as anyone can verify.
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<HEAD>
<TITLE>Will the table work in kindle?</TITLE> </HEAD>
<BODY>
<p> <FONT SIZE=4><B>TABLE OF CONTENT </B></FONT></p>
<P>
<A HREF="#CHAPT1"> 1. Brief outline <BR>
<A HREF="#SECT1.1"> 1.1 Early recollections<BR>
<A HREF="#SECT1.2"> 1.2 Polish connections <BR>
<A HREF="#SECT1.3"> 1.3 French and American Connections<BR>
</P>
</A>
<B>Introduction</B>
<P>
This personal history traces my evolution from a dedicated Stalinist in Poland to an active anti-Stalinist in the USA.
Affairs of the heart and scientific preoccupations are not totally ignored. Spanning the years between 1946 and 2008,
this story is based mostly on diaries stored in an old green metal trunk. In late 2009 I finally decided to open the
green coffer. Up to then, I had never re-read the diaries. The total volume of the diaries was approximately three
cubic feet.
</P><P>
One thing became clear as soon as I started reading. The original plan, translating everything, made no sense,
considering poor composition, numerous repetitions and too many details, for example, related to my scientific work.
But I began to see the trajectory of my life more clearly, and decided that there was enough substance to be of
interest to others. Fortunately, my wife Linda is helping me in the difficult task of editing this pile of papers.
"Are you going to be embarrassed to read descriptions of episodes from my sexual life?î I asked. The answer was "we
are senior citizens now."
</P><P>
Born in 1931 in Poland, I spent my early childhood, up to age 15, in the Soviet Union. ... more TEXT in this paragraph.
</P><P>
In what follows, ... more TEXT in this paragraph.
</P><P>
<A name="CHAPT1"> <B>1 Brief Outline </B>
</P><P>
<A name="SECT1.1">
</P>
<P>
<B>1.1 Early recollections</B>
</P>
<P>
I am in the Moscow kindergarten at the age of four or five. ... more TEXT in this paragraph.
</P><P>
My parents and I lived in a shared apartment ... more TEXT in this paragraph.
</P><P>
After my father's arrest we had no place to go. ... more TEXT in this paragraph.
</P><P>
The war started on June 22, 1941, when I was nearly ten years old. ... more TEXT in this paragraph.
</P><P>
I remember another dramatic moment. ... more TEXT in this paragraph.
</P><P>
The constant roar of cannons became weaker and weaker. ... more TEXT in this paragraph.
</P><P>
<A name="SECT1.2">
</P><P>
<B>1.2 Polish connections</B>
</P><P>
In 1943 my mother started working for a Polish organization established in Moscow. ... more TEXT in this paragraph.
</P><P>
My mother worked at the new orphanage, called Nasz Dom, ... more TEXT in this paragraph.
</P><P>
After becoming an engineer, I specialized in electro-medicine, ... more TEXT in this paragraph.
</P><P>
<A name="SECT1.3">
</P><P>
<B>1.3 French and American Connections</B>
</P> <P>
My father's sister, Tunia, survived WWII in Paris and I went to visit her. ... more TEXT in this paragraph.
</P>
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<P>