rich:suggestionbox can not display it's selectItem list when it is used inside rich:tree/rich:treeNode. the problem is not exist in v3.2.1.GA.
example code:
<rich:tree id="tree" styleClass="treeStyle" switchType="client" style="width:300px;font-size:11px"
binding="#{menuTreeBean.treeComponent}" value="#{menuTreeBean.tree}" var="item" nodeFace="#{item.type}">
<rich:treeNode type="inputSuggest" nodeClass="treeNodeStyle" >
<h:inputText value="#{item.value}" id="suggest" styleClass="tooltipData" />
<rich:suggestionbox id="suggestionBoxId" popupClass="suggestBox" for="suggest" tokens=","
rules="#{suggestionBox.rules}"
suggestionAction="#{firstTestBean.autocomplete}" var="result"
fetchValue="#{result}"
minChars="2"
width="220"
height="#{firstTestBean.divHeight}"
border="1"
nothingLabel="No capitals found" >
<h:column>
<h:outputText value="#{result}" />
</h:column>
</rich:suggestionbox>
</rich:treeNode>
</rich:tree>