Wordnet 3.0
ADVERB (2)
1. 
 in a tentative and self-conscious manner; 
- Example: "she always acts very insecurely in the presence of her father"2. 
 in a manner involving risk; 
- Example: "our positions here at the university are rather insecurely supported by grant money"
The Collaborative International Dictionary of English v.0.48:
Insecurely \In`se*cure"ly\, adv.
   In an insecure manner.
   [1913 Webster]
WordNet (r) 3.0 (2006):
insecurely
    adv 1: in a tentative and self-conscious manner; "she always
           acts very insecurely in the presence of her father" [ant:
           securely]
    2: in a manner involving risk; "our positions here at the
       university are rather insecurely supported by grant money"
       [ant: securely]