[SalesForce] Component with picklist after clicking icon

I actually found a solution (or a workaround - still don't know). I will put it here in case somebody will come across same issue.

I had to dynamically recreate child component - therefore I used ChildComponentWrapper:

How it looks right now:

ParentComponent

<aura:component controller="PrdConfigCls">
  <aura:attribute name="paramProductId" type="String"/>
  <aura:attribute name="product" type="PrdConfigCls.Product"/>
  <aura:attribute name="attributes" type="PrdConfigCls.Attribute[]"/>
  <aura:handler name="change" value="{!v.paramProductId}" action="{!c.paramProductIdChangeEventHandler}"/>

 <div aura:id="container">     
 // in this place ChildComponentWrapper will instantiate after change event (helper)
 </div>

</aura:component>

ParentComponentHelper

({
    loadProductConfiguration : function(component) {

        var action = component.get("c.getProjectProductDefinition");
        action.setParams({  "projectProductId": component.get("v.paramProductId") });
        var self = this;

        action.setCallback(this, function(a) {

            var productResp = a.getReturnValue();
            var product = JSON.parse(productResp);
            component.set("v.product", product);
            component.set("v.attributes", product.attributes);

            //console.log(component.get("v.attributes"));

            var container = component.find("container");
            $A.createComponent("c:ChildComponentWrapper",
                           {attributeParam: product.attributes},
                           function(cmp) {
                               container.set("v.body", [cmp]);
                           });

        });
        $A.enqueueAction(action);

    }
})

ChildComponentWrapper

<aura:component controller="PrdConfigCls">
  <aura:attribute name="attributeParam" type="PrdConfigCls.Attribute[]"/>

  <aura:iteration items="{!v.attributes}" var="attr">
     <c:ChildComponent attributeParam="{!attr}"/>
  </aura:iteration>
</aura:component/>

I just experimented and it successfully renders once you publish the community

I think since community builder gets previewed from different domain ,this seems like a bug to me in the builder .I will bring this to attention to SFDC community product team but rest assured once you publish community it appears just fine.