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Note 12 - Fair Value - Assets and Liabilities Measured on a Recurring Basis (Details) - USD ($)
$ in Thousands
 9 Months Ended
Sep. 30, 2024
Sep. 30, 2023
Dec. 31, 2023
Clene Nanomedicine contingent earn-out liability     $ 75
Initial Stockholders contingent earn-out liability     10
Us Treasury Securities with Maturity Greater than 90 Days but Less than 1 Year [Member]      
Fair value     6,179
Money Market Funds [Member]      
Cash Equivalents $ 3,897   5,113
US Treasury Securities [Member]      
Cash Equivalents     19,884
Fair Value, Inputs, Level 1 [Member]      
Clene Nanomedicine contingent earn-out liability     0
Initial Stockholders contingent earn-out liability     0
Fair Value, Inputs, Level 1 [Member] | Us Treasury Securities with Maturity Greater than 90 Days but Less than 1 Year [Member]      
Fair value     0
Fair Value, Inputs, Level 1 [Member] | Money Market Funds [Member]      
Cash Equivalents 3,897   5,113
Fair Value, Inputs, Level 1 [Member] | US Treasury Securities [Member]      
Cash Equivalents     0
Fair Value, Inputs, Level 2 [Member]      
Clene Nanomedicine contingent earn-out liability     0
Initial Stockholders contingent earn-out liability     0
Fair Value, Inputs, Level 2 [Member] | Us Treasury Securities with Maturity Greater than 90 Days but Less than 1 Year [Member]      
Fair value     6,179
Fair Value, Inputs, Level 2 [Member] | Money Market Funds [Member]      
Cash Equivalents 0   0
Fair Value, Inputs, Level 2 [Member] | US Treasury Securities [Member]      
Cash Equivalents     19,884
Fair Value, Inputs, Level 3 [Member]      
Clene Nanomedicine contingent earn-out liability     75
Initial Stockholders contingent earn-out liability     10
Fair Value, Inputs, Level 3 [Member] | Us Treasury Securities with Maturity Greater than 90 Days but Less than 1 Year [Member]      
Fair value     0
Fair Value, Inputs, Level 3 [Member] | Money Market Funds [Member]      
Cash Equivalents 0   0
Fair Value, Inputs, Level 3 [Member] | US Treasury Securities [Member]      
Cash Equivalents     0
Common Stock Warrant Liability [Member]      
Common stock warrant liabilities 592   1,481
Balance 1,481 $ 0  
Change in fair value (956) (5,958)  
Balance 592 1,860  
Initial fair value of instruments   7,818  
Common Stock Warrant Liability [Member] | Avenue Warrants 2023 [Member]      
Change in fair value 67    
Common Stock Warrant Liability [Member] | Fair Value, Inputs, Level 1 [Member]      
Common stock warrant liabilities 0   0
Common Stock Warrant Liability [Member] | Fair Value, Inputs, Level 2 [Member]      
Common stock warrant liabilities 0   0
Common Stock Warrant Liability [Member] | Fair Value, Inputs, Level 3 [Member]      
Common stock warrant liabilities 592   $ 1,481
Clene Nanomedicine Contingent Earn-out [Member]      
Balance 75 2,264  
Change in fair value (75) (2,114)  
Balance 0 150  
Initial fair value of instruments   0  
Clene Nanomedicine Contingent Earn-out [Member] | Avenue Warrants 2023 [Member]      
Change in fair value 0    
Initial Stockholders Contingent Earn-out [Member]      
Balance 10 291  
Change in fair value (10) (272)  
Balance 0 19  
Initial fair value of instruments   $ 0  
Initial Stockholders Contingent Earn-out [Member] | Avenue Warrants 2023 [Member]      
Change in fair value $ 0