I think the clothing and containers (rucksack, scabbard, cap, garments, leggings, cloak and shoes etc) found with Otzi the Iceman showed the fantastically skilled techniques and amazing detail our ancient forebears wove into clothing and containers. Grass, plants, leaves, sinews, leather - they worked it all with expertise.
There are a few objects in the National Museum of Scotland in Chambers Street which always blow me away because they are made of totally biodegradable stuff and look amazing. They have survived because of the wetness of Scotland.

http://www.nms.ac.uk/collections/details.php?item_id=136824&terms=level%200&key=location.entry_1&offset=192&pos=206&tot=2740

This looks like it could have been run up yesterday. Well sort of...

http://www.nms.ac.uk/collections/details.php?item_id=19564&terms=level%200&key=location.entry_1&offset=0&pos=4&tot=2740

And I always stop to greet this old bald lady...

http://www.nms.ac.uk/images/ballachulishfigure-originalphoto.jpg

She was found in wicker/ basketwork below the peat at Ballachulish.

http://www.nms.ac.uk/highlights/objects_in_focus/ballachulish_figure.aspx

Some say she is made of Alder, some say Oak. She is certainly something.

As for whether our ancient forebears made fine wicker/ basketwork? I have absolutely no doubt that they did. They certainly wove marvellous wattles for their walls and I am certain their basketwork was the talk of the roundhouse... if not the whisper of the village.