This is a solution to my question. It works but I think it is a little more 
complex than I expected and hopefully someone gives a simpler solution!
Complex TW code ate very difficult to maintain!


\define test(filter:"[range[1,14]]", stateTid:"testState")
<$vars filter=<<__filter__>> 
 last-item={{{ [list<__stateTid__>last[]] }}}
 first-item={{{ [list<__stateTid__>first[]] }}}
 stateTiddler=<<__stateTid__>>
>

<$button>Prev List
<$action-setfield $tiddler=<<stateTiddler>> list=""/>
<$list 
filter="[subfilter<filter>allbefore:include<first-item>last[4]count[]] -1 
-2 -3 ~[[::false]]" variable=result>
   <$list filter="[<result>prefix[::false]]" variable=ignore>
        <$action-listops $tiddler=<<stateTiddler>> 
$subfilter="[subfilter<filter>first[4]]"/>
   </$list>
   <$list filter="[<result>!prefix[::false]]" variable=case>
        <$action-listops $tiddler=<<stateTiddler>> 
$subfilter="[subfilter<filter>allbefore:include<first-item>last[4]] 
~[subfilter<filter>first[4]]"/>   
   </$list> 
</$list>
</$button>
<$button>Next List
<$action-setfield $tiddler=<<stateTiddler>> list=""/>
<$list 
filter="[subfilter<filter>allafter:include<last-item>first[4]count[]] -1 -2 
-3 ~[[::false]]" variable=result>
   <$list filter="[<result>prefix[::false]]" variable=ignore>
        <$action-listops $tiddler=<<stateTiddler>> 
$subfilter="[subfilter<filter>last[4]]"/>
   </$list>
   <$list filter="[<result>!prefix[::false]]" variable=case>
        <$action-listops $tiddler=<<stateTiddler>> 
$subfilter="[subfilter<filter>allafter:include<last-item>first[4]] 
~[subfilter<filter>last[4]]"/>  
   </$list> 
</$list>
</$button>


</$vars>
\end

<<test>>

{{testState!!list}}


In the above code four entries are visible all the time!

Added to Yazd!

--Mohammad

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